Home > Algebra calculators > Variation equations calculator - If X Proportion Y, then prove that X^3+Y^3 Proportion X^2Y-XY^2

Method and examples
Variation Equations
For proportional 'prop' sign, we use '@' sign for input.

 1. Find value of variation using given value Variation Given Find x prop y and x=4,y=2. Find x=18,y=?x prop 1/y^3 and x=16,y=1/2. Find x=54,y=?x prop y^3/z and x=8,y=4,z=3. Find x=?,y=6,z=4x prop yz and x=8,y=4,z=3. Find x=?,y=6,z=4x prop y^3z and x=8,y=4,z=3. Find x=?,y=6,z=4

 2. Prove results for given variation Variation Prove that Constant If x prop y then prove that x^3+y^3 prop x^2y-xy^2If x prop y then prove that x^2+y^2+xy prop x^2-y^2If x prop y, y prop z then prove that x^3+y^3+z^3 prop xyzIf y prop z, x prop y then prove that x^3+y^3+z^3 prop xyzIf 5x-7y prop 6x+3y then prove that x prop yIf 5x+2y prop 3x-7y then prove that x prop yIf 9x-3y prop 4x+5y then prove that x prop yIf 2x^2-3y^2 prop 4x^2+5y^2 then prove that x prop yIf 4x^3+5y^3 prop 2x^3-9y^3 then prove that x prop yIf x^2+9y^2 prop xy then prove that x prop yIf 4x^2+9y^2 prop xy then prove that x^2+y^2 prop xy
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